Sound waves undergo reflection and refraction, much as electromagnetic waves do. Here is one practical application of reflection and refraction in the field of health care: determining the location of a liver tumor. Suppose that a narrow beam of ultrasonic waves travels through surrounding tissue and enters the liver with an incidence angle of 51.0°. These inaudible sound waves travel 14.5% more slowly through the liver than through the medium that lies above. Suppose that the beam reflects off the tumor and emerges from the liver at a distance 11.0 cm from its entry point. Calculate the depth of the tumor (in cm) below the surface of the liver. 11.0 cm 51.0° i Liver Tumor 2.85 Once the beam enters the liver, its path to the tumor can be thought of as the hypotenuse of a right triangle. One leg of that triangle is known: it is half the senaration betw een the incident and e merging beams at the liver surface Th e other lea is the quantity vou seek: the denth of the tumor Be sure to keen

Sound waves undergo reflection and refraction, much as electromagnetic waves do. Here is one practical application of reflection and refraction in the field of health care: determining the location of a liver tumor. Suppose that a narrow beam of ultrasonic waves travels through surrounding tissue and enters the liver with an incidence angle of 51.0°. These inaudible sound waves travel 14.5% more slowly through the liver than through the medium that lies above. Suppose that the beam reflects off the tumor and emerges from the liver at a distance 11.0 cm from its entry point. Calculate the depth of the tumor (in cm) below the surface of the liver. 11.0 cm 51.0° i Liver Tumor 2.85 Once the beam enters the liver, its path to the tumor can be thought of as the hypotenuse of a right triangle. One leg of that triangle is known: it is half the senaration betw een the incident and e merging beams at the liver surface Th e other lea is the quantity vou seek: the denth of the tumor Be sure to keen

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 38P

See similar textbooks

Similar questions

To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
Sound waves undergo reflection and refraction, much as electromagnetic waves do. Here is one practical application of reflection and refraction in the field of health care: determining the location of a liver tumor. Suppose that a narrow beam of ultrasonic waves travels through surrounding tissue and enters the liver with an incidence angle of 51.0°. These inaudible sound waves travel 14.0% more slowly through the liver than through the medium that lies above. Suppose that the beam reflects off the tumor and emerges from the liver at a distance 13.0 cm from its entry point. Calculate the depth of the tumor (in cm) below the surface of the liver.
Hand written solutions are strictly prohibited.
Sound waves undergo reflection and refraction, much as electromagnetic waves do. Here is one practical application of reflection and refraction in the field of health care: determining the location of a liver tumor. Suppose that a narrow beam of ultrasonic waves travels through surrounding tissue and enters the liver with an incidence angle of 48.0°. These inaudible sound waves travel 11.5% more slowly through the liver than through the medium that lies above. Suppose that the beam reflects off the tumor and emerges from the liver at a distance 11.5 cm from its entry point. Calculate the depth of the tumor (in cm) below the surface of the liver.
Light with a frequency of 5.80 x 1014 Hz travels in a glass block with an index of refraction of 1.52. What is the wavelength of light? (a) in vacuum and (b) in the glass?
Light with a frequency of 5.80 x 1014 Hz travels in a block of glass that has an index of refraction of 1.52. What is the wavelength of the light (a) in vacuum and (b) in the glass?
high-frequency sound waves exhibit less diffraction than low-frequency sound waves do. However, even high frequency sound waves exhibit much more diffraction under normal circumstances than do light waves that pass through the same opening. The highest frequency that a healthy ear can typically hear is 2.0 × 104 Hz. Assume that a sound wave with this frequency travels at 344 m/s and passes through a doorway that has a width of 0.95 m. (a) Determine the angle that locates the first minimum to either side of the central maximum in the diffraction pattern for the sound. (b) Suppose that yellow light (wavelength = 567 nm, in vacuum) passes through a doorway and that the first dark fringe in its diffraction pattern is located at the angle determined in part (a). How wide would this hypothetical doorway have to be?
Very short pulses of high intensity laser beams are used to repair detached portions of the retina of the eye. The brief pulses of energy absorbed by the retina welds the detached portion back into place. In one such procedure, a laser beam has a wavelength of 810 nm and delivers 250 mW of power spread over a circular spot 510 micrometers in diameter. The vitreous humor (the transparent fluid that fills most of the eye) has an index of refraction of 1.34. (A) what average pressure would the pulse of the laser beam exert at normal incidence on a surface in air if the beam is fully absorbed? (B) what is the wavelength of the laser light inside the vitreous humor of the eye? (C) what is the frequency of the laser light inside the vitreous humor of the eye?
The wavelength of red helium-neon laser light in air is 632.8 nm. (a) What is its frequency? Hz (b) What is its wavelength in glass that has an index of refraction of 1.55? nm (c) What is its speed in the glass? Mm/s
The wavelength of red helium–neon laser light in air is 632.8 nm. (a) What is its frequency? Hz(b) What is its wavelength in glass that has an index of refraction of 1.46? nm(c) What is its speed in the glass? Mm/s
Light has wavelength 600 nm in a vacuum. It passes into glass, which has an index of refraction of 1.50. What is the frequency of the light inside the glass? 3.3X10^14 Hz 5.0X10^14 Hz 3.3X10^5 Hz 5.0X10^5 Hz
A light beam from a medium of refractive index 1 is incident normally on the vertical face of the prism as illustrated in the figure. The refractive index of the prism is 1.8. Find the maximum α for which no light leaves the prism through the inclined face and if within the medium the light has a frequency of 2.8 × 1014Hz, every how many meters is the undulating movement of this wave repeated within the prism?